I am trying to introduce myself into Microlocal Analysis. In particular, motivated by some results in Inverse Problems, I would like to find good references for the microlocal versions of Helgason and Holmgren theorems, and also for the so-called Kashiwara's watermelon theorem.

Ultimately, I am interested in understanding injectivity for Radon transform with limited angle.

I am reading Hörmander's classic and a couple of papers by Jan Boman.

However still, I wonder whether there is something (like some lecture notes, or some modern book) more up-to-date where all these ideas had been written down more pedagogically.

Thanks for any help you may provide

  • $\begingroup$ Melrose used to have some lecture notes on his website that looked at conormal distributions with applications to Radon transforms. $\endgroup$ – Mark Joshi Jul 11 '15 at 2:38
  • $\begingroup$ Thanks, I have not heard about those ones. I'll check them out. $\endgroup$ – Qwertuy Jul 11 '15 at 13:10
  • $\begingroup$ for general microlocal analysis, my lecture notes on arxiv are I think decent. Shubin's book is good. $\endgroup$ – Mark Joshi Jul 12 '15 at 3:35
  • $\begingroup$ Thanks Mark, but I cannot find those notes on arXiv under your name. $\endgroup$ – Qwertuy Jul 12 '15 at 12:19
  • 2
    $\begingroup$ arxiv.org/abs/math/9906155 $\endgroup$ – Mark Joshi Jul 12 '15 at 21:32

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